2sinx-cotxcosx=1

the problem is...

after switching terms around and doing some operations i got...

This feels like the wrong direction since i'm using terms with sin^6 in the denominator.

When i first looked at it, it seemed like getting all the terms to be sin (or cos too i guess) would be possible. Well i got all the terms to be in sin, but these terms have large exponents in the denominator, etc.

I can now use the quad. formula to solve for sin(Theta). I suspect you removed the 1 on purpose. perhaps it makes it easier to solve. but how would you re-incorporate that 1 back into the equation when you are finished?

edit: i solved the equation using the quad. formula and got two answers that work with the original equation. Thanks!

This feels like the wrong direction since i'm using terms with sin^6 in the denominator.

When i first looked at it, it seemed like getting all the terms to be sin (or cos too i guess) would be possible. Well i got all the terms to be in sin, but these terms have large exponents in the denominator, etc.